Question

Find the area of the shaded region

Answer 1

Answer:

7$\pi$ cm²

Step-by-step explanation:

First, find the area of the big circle with the formula A = $\pi$r²

A = $\pi$(3)²

A = 9$\pi$

Now, we can find the areas of the smaller circles. Since they have the same radius, they are congruent (will have the same area)

A = $\pi$r²

A = $\pi$(1)²

A = $\pi$

Now, we will subtract the areas of the smaller circles from the area of the big circle to find the area of the shaded region:

9$\pi$ - $\pi$ - $\pi$ = 7$\pi$

So, the area of the shaded region is 7$\pi$ cm²